468602820 has 360 divisors, whose sum is σ = 1776341952. Its totient is φ = 101243520.

The previous prime is 468602819. The next prime is 468602837. The reversal of 468602820 is 28206864.

468602820 is a `hidden beast` number, since 46 + 8 + 602 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10897719 + ... + 10897761.

Almost surely, 2^468602820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468602820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888170976).

468602820 is an abundant number, since it is smaller than the sum of its proper divisors (1307739132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468602820 is a wasteful number, since it uses less digits than its factorization.

468602820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 468602820 is about 21647.2358512582. The cubic root of 468602820 is about 776.7268162036.

The spelling of 468602820 in words is "four hundred sixty-eight million, six hundred two thousand, eight hundred twenty".